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3 years ago

Rewrite the expression by factoring out (u-4) 5u^2 (u-4) -2 (u-4)

Mathematics

2 answers:

tigry1 [53]3 years ago

7 0

It's basically already done.

(5u^2 - 2)(u - 4)

because both terms have (u - 4)

Snezhnost [94]3 years ago

6 0

Answer:

(5u^2 - 2)(u - 4)

Step-by-step explanation:

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Which of the following is a coefficient in the algebra expression 12p^5+r-16?

Andru [333]

Answer:

12 (or A)

Step-by-step explanation:

A coefficient is the number before a variable.

Examples: 5r , 34y, 10x^2 (the coefficients are 5, 34, and 10)

12 has a variable after it, so 12 is a coefficient.

8 0

3 years ago

Use the definition of the derviative to compute the derivative of f(x)= 1- 7x^2 at the specific point x=2.

GaryK [48]

Answer:

$f'(x) = -28 \ at \ x = 2$

Step-by-step explanation:

$f'(2) = \lim_{h \to 0}\frac{f(2+h)) -f(2)}{h} \\\\f(2+h) = 1 - 7(2+h)^2 = 1 - 7(4 +h^2 +4h) = 1 - 28 - 7h^2 - 28h = - 7h^2 -28h - 27\\\\f(2) = 1 - 7(2^2) = 1 - 28 = -27\\\\f(2+h) - f(2) = -7h^2 - 28h - 27 - (-27) = -7h^2 -28h -27 + 27 = -7h^2 -28h\\\\f'(2) = \lim_{h \to 0}\frac{-7h^2 - 28h}{h} \\\\$

$= \lim_{h \to 0} \frac{h(-7h -28)}{h}\\\\= \lim_{h \to 0} (-7h -28)}\\\\= -7 (0) - 28\\\\= -28$

4 0

3 years ago

A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes t

forsale [732]

Answer:

3433 m²

Step-by-step explanation:

From the image, we have a rectangular box without cover and half a cylinder on top.

Formula for surface area of rectangular box with top is;

S = 2(lh + wh + lw)

From the image,

l = 0.6 m

w = 0.4 m

h = 0.55 m

Thus;

S = 2((0.6 × 0.55) + (0.4 × 0.55) + (0.6 × 0.4))

S = 1.58 m²

Now, since the top is not included for this figure, then;

Surface area of this rectangular box is;

S1 = 1.58 - (lw) = 1.58 - (0.4 × 0.6) = 1.34 m²

Surface area of a cylinder is;

S = 2πr² + 2πrh

r is radius and in this case = 0.4/2 = 0.2 m

h = 0.6

S = 2π(0.2² + (0.2 × 0.6))

S = 1.005 m²

Since it is half cylinder, then we have;

S2 = 1.005/2

S2 = 0.5025 m²

Total surface area; S_t = S1 + S2

S_t = 1.34 + 0.5025

S_t = 1.8425 m²

This is the surface area of one mail box.

Thus, for 1863 mailboxes, total surface area is;

S = 1863 × 1.8425 = 3432.5775 m²

Approximating to the nearest Sq.m gives;

S = 3433 m²

6 0

3 years ago

The mean score of a placement exam for entrance into a math class is 80, with a standard deviation of 10. Use the empirical rul

Sedbober [7]

Answer:

47.5%

Step-by-step explanation:

5 0

3 years ago

After two consecutive years of 5% rates of return, what rate of return in the third year will produce a cumulative gain of 16%?

murzikaleks [220]

Using decimal multipliers, it is found that a rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

The <u>decimal multiplier</u> for a increase of a% is given by:

$M = \frac{100 + a}{100}$

In this problem, two increases of 5%, thus:

$M = \frac{100 + 5}{100} = 1.05$

Another of x, that we want to find, and the result is a increase of 16%, thus:

$M = \frac{100 + 16}{100} = 1.16$

The three increases(5%, 5% and x%) result in a increase of 16%, thus:

$1.05(1.05)(x) = 1.16$

$x = \frac{1.16}{(1.05)^2}$

$x = 1.052$

1.052 - 1 = 0.052

A rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

A similar problem is given at brainly.com/question/21806362

5 0

3 years ago